A. Barrington and K. Pearson 441 
These categories are arranged in the following table : 
TABLE I. 
Mating 
Possible Offspring 
E. 
E. L. W. 
R. W. 
Eo. 
W. 
R. X R 
X 
X 
X 
wp 
R. xR. L. W. 
X 
X 
X 
X 
1 
X\., X JA.. VV . ... ... 
X 
X 
X 
X 
wp 
R. X Ro 
X 
X 
X 
X 
R. X W 
X 
X 
x 
X 
wp 
R. L. W. X R. L. W. 
X 
X 
X 
X 
up 
R. L. W. xR. W. ... 
X 
X 
X 
x 
wp 
R. L. W. xRo. 
X 
X 
X 
X 
lop 
R. L. W. xW. 
V'p 
? 
wp 
X 
ivp 
R. W.xR. W. 
X 
X 
X 
X 
ARB 
R. W. xRo. 
X 
X 
X 
X 
wp 
R. W. xW. 
X 
up 
X 
X 
wp 
Ro. X Ro 
X 
X 
X 
X 
X 
Ro. X W 
X 
X 
X 
X 
W. X W 
wp 
9 
■ 
ARB 
wp 
X 
All the categories marked x were found in the first random sample of 
2172 calves taken out of the Herdbook. Some of course are infrequent, but 
their relative frequency will be found at once by examining Tables II and III. 
Those marked wp came to light in following up the pedigrees of white cattle. 
They are taken from vols. 37 to 49, in the bulk of cases from vols. 47 to 49 ; they 
are not exhaustive, but in most cases several schedules with each type occur in 
our record. The two cases marked AHB were noted in a single volume of the 
American Herdbook. No stress is laid on them. 
Thus out of the 75 possible arrangements all but three have been found, and 
these three are all concerned with the comparatively scarce category of red cattle 
with white markings. Many of the 75 groups are rare, some excessively rare. It 
is always possible to assert that the rarest of them are due to misprints or to 
breeders' mistakes. We have made enquiries of breeders and in some cases 
additional instances have been provided, but we have kept to the cases actually 
on Herdbook record*. 
Take as an illustrative case IF x IT. This is a comparatively rare cross ; 
because some breeders think white cattle delicate, others do not breed it 
because the produce have less sale and at lower prices in the export market. 
It is either unfashionable or unprofitable. Most breeders assert that TTxW 
always gives W ; it generally does, but their experience when you come to actual 
numbers must be very limited. In fourteen volumes of the Herdbook containing 
about 57,000 calves, 91 cases only of T^^ x W were found, though quite possibly 
* Mr T. Milne tells us, for example, of an all red heifer turned down with two young bulls, one all 
red and the other RLW, producing from one or other a white calf. 
Biometrika iv 56 
